Chapter 6.4, Problem 70E

(a)

To determine

To show: The volume of the solid when the region is revolved about the vertical line $x=x_0$ using shell method is $V={\displaystyle \underset{a}{\overset{b}{\int }}2\pi \left(x-x_0\right)\left(f\left(x\right)-g\left(x\right)\right)dx}$.

(b)

To determine

To show: The volume of the solid when the region is revolved about the vertical line $x=x_0$ using shell method is $V={\displaystyle \underset{a}{\overset{b}{\int }}2\pi \left(x-x_0\right)\left(f\left(x\right)-g\left(x\right)\right)dx}$.